11207865065712 has 640 divisors, whose sum is σ = 36388486987776. Its totient is φ = 2899884589056.

The previous prime is 11207865065711. The next prime is 11207865065827. The reversal of 11207865065712 is 21756056870211.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11207865065711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10254221838 + ... + 10254222930.

Almost surely, 2^{11207865065712} is an apocalyptic number.

11207865065712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11207865065712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18194243493888).

11207865065712 is an abundant number, since it is smaller than the sum of its proper divisors (25180621922064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11207865065712 is a wasteful number, since it uses less digits than its factorization.

11207865065712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 11207865065712 in words is "eleven trillion, two hundred seven billion, eight hundred sixty-five million, sixty-five thousand, seven hundred twelve".